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Finding the Fourth Proportional to 651.92, 899.64 and 357.20

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Solution

The fourth proportional to 651.92, 899.64 and 357.20 is: 492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 899.64 = 357.20 : x
  2. Step 2: Convert to fraction form
    651.92/899.64 = 357.20/x
  3. Step 3: Cross multiply
    651.92x = 899.64 × 357.20
  4. Step 4: Simplify right side
    651.92x = 321,351.41
  5. Step 5: Solve for x
    x = 321,351.41/651.92
  6. Step 6: Final answer
    x = 492.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.